| Publikationstyp: | Beitrag in wissenschaftlicher Zeitschrift |
| Art der Begutachtung: | Peer review (Publikation) |
| Titel: | Robust fitting of the binomial model |
| Autor/-in: | Ruckstuhl, Andreas Welsh, A.H. |
| Erschienen in: | Annals of Statistics |
| Band(Heft): | 29 |
| Heft: | 4 |
| Seite(n): | 1117 |
| Seiten bis: | 1136 |
| Erscheinungsdatum: | 2001 |
| Verlag / Hrsg. Institution: | Institute of Mathematical Statistics |
| ISSN: | 0090-5364 |
| Sprache: | Englisch |
| Schlagwörter: | Statistik; Binomial model; Robust fitting |
| Fachgebiet (DDC): | 510: Mathematik |
| Zusammenfassung: | We consider the problem of robust inference for the binomial(m, I) model. The discreteness of the data and the fact that the parameter and sample spaces are bounded mean that standard robustness theory gives surprising results. For example, the maximum likelihood estimator (MLE) is quite robust, it cannot be improved on for m = 1 but can be for m > 1. We discuss four other classes of estimators: M-estimators , minimum disparity estimators, optimal MGP estimators, and a new class of estimators which we call E-estimators. We show that E-estimators have a non-standard asymptotic theory which challenges the accepted relationships between robustness concepts and thereby provides new perspectives on these concepts. |
| URI: | http://www.jstor.org/stable/2674073 https://digitalcollection.zhaw.ch/handle/11475/7225 |
| Volltext Version: | Publizierte Version |
| Lizenz (gemäss Verlagsvertrag): | Lizenz gemäss Verlagsvertrag |
| Departement: | School of Engineering |
| Organisationseinheit: | Institut für Datenanalyse und Prozessdesign (IDP) |
| Enthalten in den Sammlungen: | Publikationen School of Engineering |
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Ruckstuhl, A., & Welsh, A. H. (2001). Robust fitting of the binomial model. Annals of Statistics, 29(4), 1117–1136. http://www.jstor.org/stable/2674073
Ruckstuhl, A. and Welsh, A.H. (2001) ‘Robust fitting of the binomial model’, Annals of Statistics, 29(4), pp. 1117–1136. Available at: http://www.jstor.org/stable/2674073.
A. Ruckstuhl and A. H. Welsh, “Robust fitting of the binomial model,” Annals of Statistics, vol. 29, no. 4, pp. 1117–1136, 2001, [Online]. Available: http://www.jstor.org/stable/2674073
RUCKSTUHL, Andreas und A.H. WELSH, 2001. Robust fitting of the binomial model. Annals of Statistics [online]. 2001. Bd. 29, Nr. 4, S. 1117–1136. Verfügbar unter: http://www.jstor.org/stable/2674073
Ruckstuhl, Andreas, and A.H. Welsh. 2001. “Robust Fitting of the Binomial Model.” Annals of Statistics 29 (4): 1117–36. http://www.jstor.org/stable/2674073.
Ruckstuhl, Andreas, and A. H. Welsh. “Robust Fitting of the Binomial Model.” Annals of Statistics, vol. 29, no. 4, 2001, pp. 1117–36, http://www.jstor.org/stable/2674073.
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